Transcript Chapter 8

Chapter 8
Profit Maximization and
Competitive Supply
Topics to be Discussed
 Perfectly Competitive Markets
 Profit Maximization
 Marginal Revenue, Marginal Cost, and
Profit Maximization
 Choosing Output in the Short-Run
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Chapter 8
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Topics to be Discussed
 The Competitive Firm’s Short-Run Supply
Curve
 Short-Run Market Supply
 Choosing Output in the Long-Run
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Perfectly Competitive Markets
 The model of perfect competition can be
used to study a variety of markets
 Basic assumptions of Perfectly
Competitive Markets
1. Price taking
2. Product homogeneity
3. Free entry and exit
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Perfectly Competitive Markets
1. Price Taking
 The individual firm sells a very small share
of the total market output and, therefore,
cannot influence market price.
 Each firm takes market price as given –
price taker
 The individual consumer buys too small a
share of industry output to have any impact
on market price.
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Perfectly Competitive Markets
2. Product Homogeneity
 The products of all firms are perfect
substitutes.
 Product quality is relatively similar as well
as other product characteristics
 Agricultural products, oil, copper, iron,
lumber
 Heterogeneous products, such as brand
names, can charge higher prices because
they are perceived as better
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Perfectly Competitive Markets
3. Free Entry and Exit
 When there are no special costs that make
it difficult for a firm to enter (or exit) an
industry
 Buyers can easily switch from one supplier
to another.
 Suppliers can easily enter or exit a market.

Pharmaceutical companies not perfectly
competitive because of the large costs of R&D
required
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When are Markets Competitive
 Few real products are perfectly
competitive
 Many markets are, however, highly
competitive
 No rule of thumb to determine whether a
market is close to perfectly competitive
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Profit Maximization
 Do firms maximize profits?
Managers in firms may be concerned with
other objectives
 Revenue
maximization
 Revenue growth
 Dividend maximization
 Short-run profit maximization (due to bonus or
promotion incentive)
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Profit Maximization
 Implications of non-profit objective
Over the long-run investors would not
support the company
Without profits, survival unlikely in
competitive industries
 Managers have constrained freedom to
pursue goals other than long-run profit
maximization
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 We can study profit maximizing output for
any firm whether perfectly competitive or
not
Profit () = Total Revenue - Total Cost
If q is output of the firm, then total revenue is
price of the good times quantity
Total Revenue (R) = Pq
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 Costs of production depends on output
Total Cost (C) = Cq
 Profit for the firm, , is difference
between revenue and costs
 (q)  R(q)  C (q)
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 Firm selects output to maximize the
difference between revenue and cost
 We can graph the total revenue and total
cost curves to show maximizing profits
for the firm
 Distance between revenues and costs
show profits
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 Revenue is curved showing that a firm
can only sell more if it lowers its price
 Slope in revenue curve is the marginal
revenue
 Slope of total cost curve is marginal cost
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 If the producer tries to raise price, sales
are zero.
 Profit is negative to begin with since
revenue is not large enough to cover
fixed and variable costs
 Profit increases until it is maxed at q*
 Profit is maximized where MR = MC or
where slopes of the R(q) and C(q) curves
are equal
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Profit Maximization – Short Run
Cost,
Revenue,
Profit
($s per
year)
Profits are maximized where MR (slope
at A) and MC (slope at B) are equal
C(q)
A
R(q)
Profits are
maximized
where R(q) –
C(q) is
maximized
B
0
q0
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q*
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Output
(q)
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 Profit is maximized at the point at which
an additional increment to output leaves
profit unchanged
  R C
 R C


0
q q q
 MR  MC  0
MR  MC
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Marginal Revenue, Marginal
Cost, and Profit Maximization
 The Competitive Firm
Price taker – market price and output
determined from total market demand and
supply
Market output (Q) and firm output (q)
Market demand (D) and firm demand (d)
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The Competitive Firm
 Demand curve faced by an individual firm
is a horizontal line
Firm’s sales have no effect on market price
 Demand curve faced by whole market is
downward sloping
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The Competitive Firm
Price
$ per
bushel
Firm
Price
$ per
bushel
Industry
S
$4
d
$4
D
100
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200
Output
(bushels)
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100
Output
(millions
of bushels)
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The Competitive Firm
 The competitive firm’s demand
Individual producer sells all units for $4
regardless of that producer’s level of output.
MR = P with the horizontal demand curve
For a perfectly competitive firm, profit
maximizing output occurs when
MC (q)  MR  P  AR
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Choosing Output: Short Run
 We will combine revenue and costs with
demand to determine profit maximizing
output decisions.
 In the short run, capital is fixed and firm
must choose levels of variable inputs to
maximize profits.
 We can look at the graph of MR, MC,
ATC and AVC to determine profits
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Choosing Output: Short Run
 The point where MR = MC, the profit
maximizing output is chosen
MR=MC at quantity, q*, of 8
At a quantity less than 8, MR>MC so more
profit can be gained by increasing output
At a quantity greater than 8, MC>MR,
increasing output will decrease profits
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A Competitive Firm
MC
Price
Lost Profit
for q2>q*
Lost Profit
for q2>q*
50
A
40
AR=MR=P
ATC
AVC
30
q1 : MR > MC
q2: MC > MR
q0: MC = MR
20
10
0
1
2
3
4
5
6
7
q1
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q*
9
q2
10
11
Output
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A Competitive Firm – Positive
Profits
Price
50
40
MC
Total
Profit =
ABCD
A
D
AR=MR=P
ATC
Profit per
unit = PAC(q) = A
to B
30 C
Profits are
determined
by output per
unit times
quantity
AVC
B
20
10
0
1
2
3
4
5
6
7
q1
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q*
9
q2
10
11
Output
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The Competitive Firm
 A firm does not have to make profits
 It is possible a firm will incur losses if the
P < AC for the profit maximizing quantity
Still measured by profit per unit times
quantity
Profit per unit is negative (P – AC < 0)
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A Competitive Firm – Losses
MC
Price
ATC
B
C
D
A
P = MR
q *:
At
MR =
MC and P <
ATC
Losses =
(P- AC) x q*
or ABCD
AVC
q*
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Output
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Choosing Output in the Short
Run
 Summary of Production Decisions
Profit is maximized when MC = MR
If P > ATC the firm is making profits.
If P < ATC the firm is making losses
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Short Run Production
 Why would firm produce at a loss?
Might think price will increase in near future
Shutting down and starting up could be
costly
 Firm has two choices in short run
Continue producing
Shut down temporarily
Will compare profitability of both choices
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Short Run Production
 When should the firm shut down?
If AVC < P < ATC, the firm should continue
producing in the short run
If AVC > P, the firm should shut-down.
 Can
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not cover even its fixed costs
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A Competitive Firm – Losses
MC
Price
ATC
Losses
B
C
D
P < ATC but
AVC so
firm will
continue to
produce in
short run
A
P = MR
AVC
F
E
q*
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Output
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Competitive Firm – Short Run
Supply
 Supply curve tells how much output will
be produced at different prices
 Competitive firms determine quantity to
produce where P = MC
Firm shuts down when P < AVC
 Competitive firms supply curve is portion
of the marginal cost curve above the AVC
curve
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A Competitive Firm’s
Short-Run Supply Curve
Price
($ per
unit)
The firm chooses the
output level where P = MR = MC,
as long as P > AVC.
Supply is MC
above AVC
MC
S
P2
ATC
P1
AVC
P = AVC
q1
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q2 Output
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Short-Run Market Supply Curve
 Shows the amount of product the whole
market will produce at given prices
 Is the sum of all the individual producers
in the market
 We can show graphically how we can
sum the supply curves of individual
producers
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Industry Supply in the Short
Run
S
The short-run
industry supply curve
is the horizontal
summation of the supply
curves of the firms.
$ per
unit
P3
P2
P1
Q
2
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5
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The Short-Run Market Supply
Curve
 As price rises, firms expand their production
 Increased production leads to increased
demand for inputs and could cause increases in
input prices
 Increases in input prices cause MC curve to rise
 This lowers each firm’s output choice
 Causes industry supply to be less responsive to
change in price than would be otherwise
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Elasticity of Market Supply
 Elasticity of Market Supply
Measures the sensitivity of industry output to
market price
The percentage change in quantity supplied,
Q, in response to 1-percent change in price
Es  (Q / Q) /( P / P)
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Elasticity of Market Supply
 When MC increase rapidly in response to
increases in output, elasticity is low
 When MC increase slowly, supply is relatively
elastic
 Perfectly inelastic short-run supply arises when
the industry’s plant and equipment are so fully
utilized that new plants must be built to achieve
greater output.
 Perfectly elastic short-run supply arises when
marginal costs are constant.
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Producer Surplus in the Short
Run
 Price is greater than MC on all but the
last unit of output.
 Therefore, surplus is earned on all but
the last unit
 The producer surplus is the sum over all
units produced of the difference between
the market price of the good and the
marginal cost of production.
 Area above supply to the market price
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Producer Surplus for a Firm
Price
($ per
unit of
output)
MC
Producer
Surplus
AVC
B
A
P
At q* MC = MR.
Between 0 and q ,
MR > MC for all units.
Producer surplus
is area above MC
to the price
q*
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Output
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The Short-Run Market Supply
Curve
 Sum of MC from 0 to q*, it is the sum o
the total variable cost of producing q*
 Producer Surplus can be defined as
difference between the firm’s revenue
and it total variable cost
 We can show this graphically by the
rectangle ABCD
Revenue (0ABq*) minus variable cost
(0DCq*)
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Producer Surplus for a Firm
Price
($ per
unit of
output)
MC
Producer
Surplus
AVC
B
A
D
P
C
q*
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Chapter 8
Producer surplus
is also ABCD =
Revenue minus
variable costs
Output
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Producer Surplus versus Profit
 Profit is revenue minus total cost (not just
variable cost)
 When fixed cost is positive, producer
surplus is greater than profit
Producer Surplus  PS  R - VC
Profit   - R - VC - FC
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Producer Surplus versus Profit
 Costs of production determine magnitude
of producer surplus
Higher costs firms have less producer
surplus
Lower cost firms have more producer surplus
Adding up surplus for all producers in the
market given total market producer surplus
Area below market price and above supply
curve
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Producer Surplus for a Market
Price
($ per
unit of
output)
S
Market producer surplus is
the difference between P*
and S from 0 to Q*.
P*
Producer
Surplus
D
Q*
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Output
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Choosing Output in the Long
Run
 In short run, one or more inputs are fixed
 In the long run, a firm can alter all its
inputs, including the size of the plant.
 We assume free entry and free exit.
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Choosing Output in the Long
Run
 In the short run a firm faces a horizontal
demand curve
 The short-run average cost curve (SAC)
and short run marginal cost curve (SMC)
are low enough for firm to make positive
profits (ABCD)
 The long run average cost curve (LRAC)
Economies of scale to q2
Diseconomies of scale after q2
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Output Choice in the Long Run
Price
LMC
LAC
SMC
SAC
$40
D
A
P = MR
C
B
$30
In the short run, the
firm is faced with fixed
inputs. P = $40 > ATC.
Profit is equal to ABCD.
q1
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Chapter 8
q2
q3
Output
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Output Choice in the Long Run
In the long run, the plant size will be
increased and output increased to q3.
Long-run profit, EFGD > short run
profit ABCD.
Price
LMC
LAC
SMC
SAC
$40
D
A
P = MR
C
B
G
$30
F
q1
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q2
q3
Output
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Long-Run Competitive
Equilibrium
 For long run equilibrium, firms must have
no desire to enter or leave the industry
 We can relative economic profit to the
incentive to enter and exit the market
 Need to relate accounting profit to
economic profit
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Long-run Competitive
Equilibrium
 Accounting profit
Difference between firm’s revenues and
direct costs
 Economic profit
Difference between firm’s revenues and
direct and indirect costs
Takes into account opportunity costs
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Long-run Competitive
Equilibrium
 Firm uses labor (L) and capital (K) with
purchased capital
 Accounting Profit & Economic Profit
Accounting profit:  = R - wL
Economic profit:  = R = wL - rK
 wl
= labor cost
 rk = opportunity cost of capital
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Long-run Competitive
Equilibrium
 Zero-Profit
A firm is earning a normal return on its
investment
Doing as well as it could by investing its
money elsewhere
Normal return is firm’s opportunity cost of
using money to buy capital instead of
investing elsewhere
Competitive market long run equilibrium
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Long-run Competitive
Equilibrium
 Zero Economic Profits
If R > wL + rk, economic profits are positive
If R = wL + rk, zero economic profits, but the
firms is earning a normal rate of return;
indicating the industry is competitive
If R < wl + rk, consider going out of business
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Long-run Competitive
Equilibrium
 Entry and Exit
The long-run response to short-run profits is
to increase output and profits.
Profits will attract other producers.
More producers increase industry supply
which lowers the market price.
This continues until there are no more profits
to be gained in the market – zero economic
profits
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Long-Run Competitive
Equilibrium – Profits
•Profit attracts firms
•Supply increases until profit = 0
$ per
unit of
output
$ per
unit of
output
Firm
Industry
S1
LMC
$40
LAC
P1
S2
P2
$30
D
q2
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Output
Chapter 8
Q1
Q2
Output
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Long-Run Competitive
Equilibrium
1. All firms in industry are maximizing
profits
 MR = MC
2. No firm has incentive to enter or exit
industry
 Earning zero economic profits
3. Market is in equilibrium
 QD = QD
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Firms Earn Zero Profit in
Long-Run Equilibrium
Ticket
Price
LMC
LAC
A baseball team
in a moderate-sized city
sells enough
tickets so that price
is equal to marginal
and average cost
(profit = 0).
$7
1.0
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Chapter 8
Season Tickets
Sales (millions)
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